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23425322352432 = 243711213371637349
BaseRepresentation
bin1010101001110001000100…
…00001000111111100110000
310001221102211222202221022120
411110320202001013330300
511032300030010234212
6121453240003434240
74635265216435260
oct524704201077460
9101842758687276
1023425322352432
117511694853300
122763b99085980
13100bcc96b1360
145adb124117a0
152a952e11c88c
hex154e22047f30

23425322352432 has 960 divisors, whose sum is σ = 84606968140800. Its totient is φ = 5430400081920.

The previous prime is 23425322352413. The next prime is 23425322352433.

23425322352432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (23425322352433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3187548694 + ... + 3187556042.

It is an arithmetic number, because the mean of its divisors is an integer number (88132258480).

Almost surely, 223425322352432 is an apocalyptic number.

23425322352432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23425322352432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42303484070400).

23425322352432 is an abundant number, since it is smaller than the sum of its proper divisors (61181645788368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23425322352432 is a wasteful number, since it uses less digits than its factorization.

23425322352432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7602 (or 7585 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 2342532 and 2352432, that added together give a palindrome (4694964).

The spelling of 23425322352432 in words is "twenty-three trillion, four hundred twenty-five billion, three hundred twenty-two million, three hundred fifty-two thousand, four hundred thirty-two".